21100300022010 has 128 divisors (see below), whose sum is σ = 55714444047360. Its totient is φ = 5113988489280.

The previous prime is 21100300022003. The next prime is 21100300022029. The reversal of 21100300022010 is 1022000300112.

It is a super-2 number, since 2×21100300022010² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170958501 + ... + 171081879.

It is an arithmetic number, because the mean of its divisors is an integer number (435269094120).

Almost surely, 2^{21100300022010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100300022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27857222023680).

21100300022010 is an abundant number, since it is smaller than the sum of its proper divisors (34614144025350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21100300022010 is a wasteful number, since it uses less digits than its factorization.

21100300022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127705 (or 127683 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21100300022010 its reverse (1022000300112), we get a palindrome (22122300322122).

The spelling of 21100300022010 in words is "twenty-one trillion, one hundred billion, three hundred million, twenty-two thousand, ten".